Properties

Label 2015.2.cv
Level 2015
Weight 2
Character orbit cv
Rep. character \(\chi_{2015}(154,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 880
Sturm bound 448

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Defining parameters

Level: \( N \) = \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 2015.cv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2015 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2015, [\chi])\).

Total New Old
Modular forms 912 912 0
Cusp forms 880 880 0
Eisenstein series 32 32 0

Trace form

\( 880q - 24q^{4} - 8q^{5} - 432q^{9} + O(q^{10}) \) \( 880q - 24q^{4} - 8q^{5} - 432q^{9} - 12q^{10} - 64q^{14} + 408q^{16} - 32q^{19} + 4q^{20} + 12q^{35} + 48q^{36} + 8q^{39} - 48q^{40} + 24q^{41} - 20q^{45} + 24q^{49} + 28q^{50} - 336q^{56} + 24q^{59} + 112q^{66} - 192q^{69} - 40q^{70} - 16q^{71} - 104q^{76} - 32q^{80} - 376q^{81} - 8q^{94} + 108q^{95} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into irreducible Hecke orbits

The newforms in this space have not yet been added to the LMFDB.